Do owners know if you archive their requests?

Like others, I often have owners for potential boarding who stop responding or who I'm sure are messaging multiple sitters at a time. I try to archive these conversations when they stop responding to increase the chance I'll get a booking for that time period. Do owners know that you have archived the request? I know I can always un-archive it to book, but I want to make sure I'm not turning off potential clients if I archive the conversation.